%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM635^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:40:05 AM UTC 2026 % Result : Theorem 0.34s 0.55s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM635^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:38:45 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.34/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.34/0.55 % SZS status Theorem % 0.34/0.55 % SZS output start Proof % 0.34/0.55 ( % 0.34/0.55 (declare-sort tptp.nat 0) % 0.34/0.55 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.34/0.55 (declare-const tptp.x tptp.nat) % 0.34/0.55 (declare-const tptp.y tptp.nat) % 0.34/0.55 (define @t1 () (= tptp.x tptp.y)) % 0.34/0.55 (define @t2 () (@var "Xy" tptp.nat)) % 0.34/0.55 (define @t3 () (@var "Xx" tptp.nat)) % 0.34/0.55 (define @t4 () (= @t3 @t2)) % 0.34/0.55 (define @t5 () (_ tptp.suc @t2)) % 0.34/0.55 (define @t6 () (_ tptp.suc @t3)) % 0.34/0.55 (define @t7 () (= @t6 @t5)) % 0.34/0.55 (define @t8 () (@list @t3 @t2)) % 0.34/0.55 (define @t9 () (forall @t8 (=> @t7 @t4))) % 0.34/0.55 (define @t10 () (_ tptp.suc tptp.y)) % 0.34/0.55 (define @t11 () (_ tptp.suc tptp.x)) % 0.34/0.55 (define @t12 () (= @t11 @t10)) % 0.34/0.55 (define @t13 () (tptp.suc @t2)) % 0.34/0.55 (define @t14 () (tptp.suc @t3)) % 0.34/0.55 (define @t15 () (not @t7)) % 0.34/0.55 (define @t16 () (or @t15 @t4)) % 0.34/0.55 (define @t17 () (tptp.suc tptp.x)) % 0.34/0.55 (define @t18 () (tptp.suc tptp.y)) % 0.34/0.55 (define @t19 () (= @t18 @t17)) % 0.34/0.55 (define @t20 () (not @t19)) % 0.34/0.55 (define @t21 () (or @t20 @t1)) % 0.34/0.55 (define @t22 () (not @t21)) % 0.34/0.55 (define @t23 () (@list true false)) % 0.34/0.55 (define @t24 () (not (= @t17 @t18))) % 0.34/0.55 (define @t25 () (or @t24 @t1)) % 0.34/0.55 (define @t26 () (forall @t8 (or (not (= @t14 @t13)) @t4))) % 0.34/0.55 (assume @p1 (not @t1)) % 0.34/0.55 (assume @p2 @t9) % 0.34/0.55 (assume @p3 (not (not @t12))) % 0.34/0.55 (assume @p4 true) % 0.34/0.55 (step @p5 :rule refl :args (@t4)) % 0.34/0.55 (step @p6 :rule refl :args (@t13)) % 0.34/0.55 (step @p7 :rule refl :args (@t5)) % 0.34/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t5 @t13))) % 0.34/0.55 (step @p9 :rule symm :premises (@p8)) % 0.34/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.34/0.55 (step @p11 :rule refl :args (@t14)) % 0.34/0.55 (step @p12 :rule refl :args (@t6)) % 0.34/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t6 @t14))) % 0.34/0.55 (step @p14 :rule symm :premises (@p13)) % 0.34/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.34/0.55 (step @p16 :rule cong :premises (@p15 @p10) :args (@t7)) % 0.34/0.55 (step @p17 :rule cong :premises (@p16) :args (@t15)) % 0.34/0.55 (step @p18 :rule nary_cong :premises (@p17 @p5) :args (@t16)) % 0.34/0.55 (step @p19 :rule cong :premises (@p18) :args ((forall @t8 @t16))) % 0.34/0.55 (step @p20 :rule bool-impl-elim :args (@t7 @t4)) % 0.34/0.55 (step @p21 :rule cong :premises (@p20) :args (@t9)) % 0.34/0.55 (step @p22 :rule trans :premises (@p21 @p19)) % 0.34/0.55 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 0.34/0.55 (step @p24 :rule eq-symm :args (@t17 @t18)) % 0.34/0.55 (step @p25 :rule refl :args (@t18)) % 0.34/0.55 (step @p26 :rule refl :args (@t10)) % 0.34/0.55 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t10 @t18))) % 0.34/0.55 (step @p28 :rule symm :premises (@p27)) % 0.34/0.55 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.34/0.55 (step @p30 :rule refl :args (@t17)) % 0.34/0.55 (step @p31 :rule refl :args (@t11)) % 0.34/0.55 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t11 @t17))) % 0.34/0.55 (step @p33 :rule symm :premises (@p32)) % 0.34/0.55 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.34/0.55 (step @p35 :rule cong :premises (@p34 @p29) :args (@t12)) % 0.34/0.55 (step @p36 :rule trans :premises (@p35 @p24)) % 0.34/0.55 (step @p37 :rule bool-double-not-elim :args (@t12)) % 0.34/0.55 (step @p38 :rule trans :premises (@p37 @p36)) % 0.34/0.55 (step @p39 :rule eq_resolve :premises (@p3 @p38)) % 0.34/0.55 (step @p40 :rule cnf_or_pos :args (@t21)) % 0.34/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or @t1 @t20 @t22))) % 0.34/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p1 @p39) :args (@t22 @t23 (@list @t1 @t19))) % 0.34/0.55 (step @p43 :rule refl :args (@t1)) % 0.34/0.55 (step @p44 :rule cong :premises (@p24) :args (@t24)) % 0.34/0.55 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t25)) % 0.34/0.55 (step @p46 :rule refl :args (@t26)) % 0.34/0.55 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t26 @t25))) % 0.34/0.55 (assume-push @p55 @t26) % 0.34/0.55 (step @p49 :rule instantiate :premises (@p23) :args ((@list tptp.x tptp.y))) % 0.34/0.55 (step-pop @p56 :rule scope :premises (@p49)) % 0.34/0.55 (step @p50 :rule process_scope :premises (@p56) :args (@t25)) % 0.34/0.55 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.34/0.55 (step @p53 :rule implies_elim :premises (@p52)) % 0.34/0.55 (step @p54 false :rule chain_m_resolution :premises (@p53 @p42 @p23) :args (false @t23 (@list @t21 @t26))) % 0.34/0.55 ) % 0.34/0.55 % SZS output end Proof % 0.34/0.55 % cvc5 exiting %------------------------------------------------------------------------------